Question 2 (ii)
Find the sums given below
(ii) 34 + 32 + 30 + ……….. + 10

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Solution

$34 + 32 + 30 + \dots \dots + 10 F o r t h i s A . P, a = 34 d = a_{2} - a_{1} = 32 - 34 = - 2 a_{n} = 10 L e t 10 b e t h e n^{t h} t e r m o f t h i s A . P . a_{n} = a + (n - 1) d 10 = 34 + (n - 1) (- 2) 12 = n - 1 n = 13 S_{n} = \frac{n}{2} (a + a_{n}) = \frac{13}{2} (34 + 10) = (13 \times \frac{44}{2}) = 13 \times 22 = 286$

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Similar questions

7 + 10 \frac{1}{2} + 14 + . . . + 84

34 + 32 + 30 + . . . + 10

- 5 + (- 8) + (- 11) + . . . + (- 230)

Find the sums given below

(i) 7 + + 14 + ………… + 84

(ii) 34 + 32 + 30 + ……….. + 10

(iii) − 5 + (− 8) + (− 11) + ………… + (− 230)

34 + 32 + 30 + . . . . . + 10

Find the sums given below:
(i) 7+ $\frac{21}{2}$ +14+...+84
(ii) 34+32+30+...+10
(iii) -5 + (-8) + (-11) + .... + (-230)

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